Base | Representation |
---|---|

bin | 100110111010… |

… | …100000001101 |

3 | 201012021021120 |

4 | 212322200031 |

5 | 10102413401 |

6 | 1002351153 |

7 | 152464551 |

oct | 46724015 |

9 | 21167246 |

10 | 10201101 |

11 | 5838269 |

12 | 34bb4b9 |

13 | 2162271 |

14 | 14d7861 |

15 | d67836 |

hex | 9ba80d |

10201101 has 16 divisors (see below), whose sum is σ = 13894848. Its totient is φ = 6656000.

The previous prime is 10201073. The next prime is 10201109. The reversal of 10201101 is 10110201.

10201101 = T_{398} + T_{399} + ... +
T_{498}.

10201101 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a 6-Lehmer number, since φ(10201101) divides (10201101-1)^{6}.

It is a cyclic number.

It is not a de Polignac number, because 10201101 - 2^{10} = 10200077 is a prime.

It is a super-2 number, since 2×10201101^{2} = 208124923224402, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number *n* which added to its sum of digits gives 10201101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39565 + ... + 39821.

It is an arithmetic number, because the mean of its divisors is an integer number (868428).

Almost surely, 2^{10201101} is an apocalyptic number.

It is an amenable number.

10201101 is a deficient number, since it is larger than the sum of its proper divisors (3693747).

10201101 is a wasteful number, since it uses less digits than its factorization.

10201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492.

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 10201101 is about 3193.9162481192. The cubic root of 10201101 is about 216.8780913223.

Adding to 10201101 its reverse (10110201), we get a palindrome (20311302).

Multiplying 10201101 by its reverse (10110201), we get a palindrome (103135181531301).

It can be divided in two parts, 10201 and 101, that multiplied together give a palindrome (1030301).

The spelling of 10201101 in words is "ten million, two hundred one thousand, one hundred one".

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